Determine the value of w for which the following harmonic oscillator (left hand side), subjected to the forcing function (right hand side), experiences pure resonance (i.e. the response function experiences unbounded growth in amplitude): (a) 3. +7.x = cos (wt) d'x dt² Pure resonance: 13 (b) 3. +2.x=2.sin (w t) + 2. cos (w t) d²x dt² Pure resonance:
Determine the value of w for which the following harmonic oscillator (left hand side), subjected to the forcing function (right hand side), experiences pure resonance (i.e. the response function experiences unbounded growth in amplitude): (a) 3. +7.x = cos (wt) d'x dt² Pure resonance: 13 (b) 3. +2.x=2.sin (w t) + 2. cos (w t) d²x dt² Pure resonance:
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Determine the value of w for which the following harmonic oscillator (left hand side), subjected to the forcing function (right hand
side), experiences pure resonance (i.e. the response function experiences unbounded growth in amplitude):
(a) 3.
dt²
+7.x = cos (wt)
Pure resonance:
(b) 3. +2.x=2.sin (w t) + 2. cos (w t)
d²x
dt²
Pure resonance: W3
= لا
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